{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b9466a96-12da-4d80-bf10-4003bb05db5e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "def f(x):\n",
    "    return 1. / (1. + x)\n",
    "\n",
    "\n",
    "def ddp(a,b,n):\n",
    "    h=(b-a)/n\n",
    "    res=f(a)+f(b)\n",
    "    xk=a\n",
    "    for i in range(1,n):\n",
    "        xk=xk+h\n",
    "        res=res+2*f(xk)\n",
    "    res=res*h/2\n",
    "    print('复化梯形解:',res)\n",
    "\n",
    "def simpsons(a,b,m):\n",
    "    n=2**m\n",
    "    h=(b-a)/float(n)\n",
    "    res=f(a)+f(b)\n",
    "    for k in range(1,m+1):\n",
    "        xk=a+(2*k-1)*h\n",
    "        res=res+4*f(xk)\n",
    "    for k in range(1,m):\n",
    "        xk=a+2*k*h\n",
    "        res=res+2*f(xk)\n",
    "    res=res*h/3\n",
    "    print('复化辛普森解:',res,'标准解:',np.log(2))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e29b62eb-d21b-4ca3-b9bb-c487837beb11",
   "metadata": {},
   "outputs": [],
   "source": [
    "def f2(x):\n",
    "    return 4/(1+x**2)\n",
    "\n",
    "def romberg(a,b,n):\n",
    "    hk=(b-a)\n",
    "    t0k=np.zeros(n)\n",
    "    t0k[0]=hk*(f2(a)+f2(b))/2\n",
    "    for k in range(1,n):\n",
    "        hk=(b-a)/float(2**k)\n",
    "        t0k[k]=t0k[k-1]*0.5\n",
    "        for i in range(1,2**(k-1)+1):\n",
    "            xi=a+(2*i-1)*hk\n",
    "            t0k[k]=t0k[k]+hk*f2(xi)\n",
    "        print(k,'t0k:',t0k[k])\n",
    "\n",
    "    t1k=np.zeros(n-1)\n",
    "    t2k=np.zeros(n-2)\n",
    "    t3k=np.zeros(n-3)\n",
    "    for k in range(0,n-1):\n",
    "        t1k[k]=(4*t0k[k+1]-t0k[k])/3\n",
    "        print(k,'t1k:',t1k[k])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d4060990-ac18-4233-b7c7-3547ea16d5f2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "29bd73b9-f83e-4a32-b8a6-d22ced107940",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "复化梯形解: 0.6931534304818241\n",
      "复化辛普森解: 1.5764070422666553e-28 标准解: 0.6931471805599453\n",
      "1 t0k: 3.1\n",
      "2 t0k: 3.1311764705882354\n",
      "3 t0k: 3.138988494491089\n",
      "4 t0k: 3.140941612041389\n",
      "5 t0k: 3.141429893174975\n",
      "6 t0k: 3.141551963485655\n",
      "7 t0k: 3.141582481063753\n",
      "0 t1k: 3.1333333333333333\n",
      "1 t1k: 3.141568627450981\n",
      "2 t1k: 3.141592502458707\n",
      "3 t1k: 3.1415926512248222\n",
      "4 t1k: 3.1415926535528365\n",
      "5 t1k: 3.1415926535892154\n",
      "6 t1k: 3.1415926535897856\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 19968 (\\N{CJK UNIFIED IDEOGRAPH-4E00}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 38454 (\\N{CJK UNIFIED IDEOGRAPH-9636}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 23548 (\\N{CJK UNIFIED IDEOGRAPH-5BFC}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 25968 (\\N{CJK UNIFIED IDEOGRAPH-6570}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 20540 (\\N{CJK UNIFIED IDEOGRAPH-503C}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 35299 (\\N{CJK UNIFIED IDEOGRAPH-89E3}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 31934 (\\N{CJK UNIFIED IDEOGRAPH-7CBE}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 30830 (\\N{CJK UNIFIED IDEOGRAPH-786E}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:30: UserWarning: Glyph 20108 (\\N{CJK UNIFIED IDEOGRAPH-4E8C}) missing from font(s) DejaVu Sans.\n",
      "  plt.tight_layout()\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 19968 (\\N{CJK UNIFIED IDEOGRAPH-4E00}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 38454 (\\N{CJK UNIFIED IDEOGRAPH-9636}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 23548 (\\N{CJK UNIFIED IDEOGRAPH-5BFC}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 25968 (\\N{CJK UNIFIED IDEOGRAPH-6570}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 20540 (\\N{CJK UNIFIED IDEOGRAPH-503C}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 35299 (\\N{CJK UNIFIED IDEOGRAPH-89E3}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 31934 (\\N{CJK UNIFIED IDEOGRAPH-7CBE}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 30830 (\\N{CJK UNIFIED IDEOGRAPH-786E}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 20108 (\\N{CJK UNIFIED IDEOGRAPH-4E8C}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 19968 (\\N{CJK UNIFIED IDEOGRAPH-4E00}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 38454 (\\N{CJK UNIFIED IDEOGRAPH-9636}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 23548 (\\N{CJK UNIFIED IDEOGRAPH-5BFC}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 25968 (\\N{CJK UNIFIED IDEOGRAPH-6570}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 20540 (\\N{CJK UNIFIED IDEOGRAPH-503C}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 35299 (\\N{CJK UNIFIED IDEOGRAPH-89E3}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 31934 (\\N{CJK UNIFIED IDEOGRAPH-7CBE}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 30830 (\\N{CJK UNIFIED IDEOGRAPH-786E}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\Users\\L\\AppData\\Local\\Temp\\ipykernel_99976\\821632455.py:31: UserWarning: Glyph 20108 (\\N{CJK UNIFIED IDEOGRAPH-4E8C}) missing from font(s) DejaVu Sans.\n",
      "  plt.savefig('dfx.pdf')\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 19968 (\\N{CJK UNIFIED IDEOGRAPH-4E00}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 38454 (\\N{CJK UNIFIED IDEOGRAPH-9636}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 23548 (\\N{CJK UNIFIED IDEOGRAPH-5BFC}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 25968 (\\N{CJK UNIFIED IDEOGRAPH-6570}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 20540 (\\N{CJK UNIFIED IDEOGRAPH-503C}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 35299 (\\N{CJK UNIFIED IDEOGRAPH-89E3}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 31934 (\\N{CJK UNIFIED IDEOGRAPH-7CBE}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 30830 (\\N{CJK UNIFIED IDEOGRAPH-786E}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "C:\\user\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 20108 (\\N{CJK UNIFIED IDEOGRAPH-4E8C}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def diff(a, b, n):\n",
    "    h = (b - a) / float(n)\n",
    "    xx = np.linspace(0, np.pi * 2, n + 1)\n",
    "    fx = np.sin(xx)\n",
    "    dfx = np.zeros(n + 1)\n",
    "    ddfx = np.zeros(n + 1)\n",
    "\n",
    "    for i in range(1, n):\n",
    "        dfx[i] = (fx[i + 1] - fx[i - 1]) / (2 * h)\n",
    "\n",
    "    for i in range(1, n):\n",
    "        ddfx[i] = (fx[i + 1] - 2 * fx[i] + fx[i - 1]) / (h ** 2)\n",
    "\n",
    "    fig = plt.figure(figsize=(12, 6))\n",
    "\n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.grid(color='g', linewidth='1', linestyle='-.')\n",
    "    plt.plot(xx[1:n-1:5], dfx[1:n-1:5], label='数值解')\n",
    "    plt.plot(xx, np.cos(xx), 'r--', label='精确解')\n",
    "    plt.title('一阶导数')\n",
    "    plt.legend()\n",
    "\n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.grid(color='g', linewidth='1', linestyle='-.')\n",
    "    plt.plot(xx, ddfx, label='数值解')\n",
    "    plt.plot(xx, -np.sin(xx), 'r--', label='精确解')\n",
    "    plt.title('二阶导数')\n",
    "    plt.legend()\n",
    "\n",
    "    plt.tight_layout()\n",
    "    plt.savefig('dfx.pdf')\n",
    "    plt.show()\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    a=0.\n",
    "    b=1.\n",
    "    n=100\n",
    "    ddp(a,b,n)\n",
    "    simpsons(a,b,n)\n",
    "    romberg(a,b,n=8)\n",
    "    diff(0,2*np.pi,628)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "64f7e85c-b767-4304-9d33-13814ba48b3c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
